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Simplifying 30x2y2 + 25xy2 + 5y2 = 0 Reorder the terms: 25xy2 + 30x2y2 + 5y2 = 0 Solving 25xy2 + 30x2y2 + 5y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(5x + 6x2 + 1) = 0 Factor a trinomial. 5y2((3x + 1)(2x + 1)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3x + 1)' equal to zero and attempt to solve: Simplifying 3x + 1 = 0 Reorder the terms: 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 3
Set the factor '(2x + 1)' equal to zero and attempt to solve: Simplifying 2x + 1 = 0 Reorder the terms: 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.3333333333, -0.5}
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